TESTING EXPONENTIALITY AGAINST EXPONENTIAL BETTER THAN USED IN LAPLACE TRANSFORM ORDER BASED ON GOODNESS OF FIT APPROACH
M. A. W., M., N. A., A., M. M. M., M. (2014). TESTING EXPONENTIALITY AGAINST EXPONENTIAL BETTER THAN USED IN LAPLACE TRANSFORM ORDER BASED ON GOODNESS OF FIT APPROACH. EKB Journal Management System, 25(Issue 1-B), 1-6. doi: 10.21608/absb.2014.22636
Mahmoud M. A. W.; Abdul Alim N. A.; Mansour M. M. M.. "TESTING EXPONENTIALITY AGAINST EXPONENTIAL BETTER THAN USED IN LAPLACE TRANSFORM ORDER BASED ON GOODNESS OF FIT APPROACH". EKB Journal Management System, 25, Issue 1-B, 2014, 1-6. doi: 10.21608/absb.2014.22636
M. A. W., M., N. A., A., M. M. M., M. (2014). 'TESTING EXPONENTIALITY AGAINST EXPONENTIAL BETTER THAN USED IN LAPLACE TRANSFORM ORDER BASED ON GOODNESS OF FIT APPROACH', EKB Journal Management System, 25(Issue 1-B), pp. 1-6. doi: 10.21608/absb.2014.22636
M. A. W., M., N. A., A., M. M. M., M. TESTING EXPONENTIALITY AGAINST EXPONENTIAL BETTER THAN USED IN LAPLACE TRANSFORM ORDER BASED ON GOODNESS OF FIT APPROACH. EKB Journal Management System, 2014; 25(Issue 1-B): 1-6. doi: 10.21608/absb.2014.22636

TESTING EXPONENTIALITY AGAINST EXPONENTIAL BETTER THAN USED IN LAPLACE TRANSFORM ORDER BASED ON GOODNESS OF FIT APPROACH

Al-Azhar Bulletin of Science
Article 2, Volume 25, Issue 1-B, June 2014, Page 1-6  XML PDF (799.61 K)
Document Type: Original Article
DOI: 10.21608/absb.2014.22636
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Authors
Mahmoud M. A. W.* 1; Abdul Alim N. A.2; Mansour M. M. M.3
1Departments of Mathematics, Faculty of Science, Al-Azhar University, Nasr City
2Basic Science, Faculty of Engineering, The British University in Egypt, Elshrouk City, Cairo, Egypt.
3Faculty of Engineering, The British University in Egypt, Elshrouk City, Cairo, Egypt.
Abstract
In this paper, test statistic for testing exponentiality versus exponential better than used in Laplace transform order based
on goodness of fit approach is discussed. Pitman’s asymptotic efficiencies of our test are calculated and compared with other
tests. The percentiles of this test are tabulated. The powers of the test are estimated for famously used distributions in aging
problems. In case of censored data our test is applied and the percentiles are calculated and tabulated. Finally, examples in
different fields are used as practical applications for the proposed test.
Keywords
Goodness of fit; censored data; Monte Carlo simulation; EBUL
Statistics
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